A short and sharpened way to approach fixed point results involving fuzzy H $\mathcal{H}$ -contractive mappings

Abstract

Abstract In the present paper, we adopt a short and sharpened approach to prove fixed point results involving fuzzy H $\mathcal{H}$ -contractive mappings utilized in (Wardowski, Fuzzy Sets Syst. 125:245–252, 2013) and other related articles. In this process, we are able to relax some conditions utilized by earlier authors which in turn yields affirmative answers to some open questions raised by earlier authors.

Keywords

• Fixed point
• Fuzzy H $\mathcal{H}$ -contractive mappings
• Fuzzy H $\mathcal{H}$ -weak contractive mappings
• α-Fuzzy- H $\mathcal{H}$ -contractive mappings
• Fuzzy metric space